15.1.28 problem 28

Internal problem ID [2868]
Book : Differential Equations by Alfred L. Nelson, Karl W. Folley, Max Coral. 3rd ed. DC heath. Boston. 1964
Section : Exercise 5, page 21
Problem number : 28
Date solved : Monday, January 27, 2025 at 06:20:53 AM
CAS classification : [_rational, _Abel]

\begin{align*} x^{2}+3 x y^{\prime }&=y^{3}+2 y \end{align*}

With initial conditions

\begin{align*} y \left (1\right )&=1 \end{align*}

✓ Solution by Maple

Time used: 0.034 (sec). Leaf size: 7

dsolve([x^2+3*x*diff(y(x),x)=y(x)^3+2*y(x),y(1) = 1],y(x), singsol=all)
 

\[ y = x^{{2}/{3}} \]

✗ Solution by Mathematica

Time used: 0.000 (sec). Leaf size: 0

DSolve[{x^2+3*x*D[y[x],x]==y[x]^3+2*y[x],y[1]==1},y[x],x,IncludeSingularSolutions -> True]
 

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